Cheng Shu

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math.AG2025

Singularities of character varieties

Cheng Shu

For any complex reductive group $G$ and any compact Riemann surface with genus $g > 0$ , we show that every connected component of the associated character variety is $Q$ -fac…

math.AG2024

Mirror of Orbifold Singularities in the Hitchin Fibration: the case $(SL_{n}, PGL_{n})$

Yongbin Ruan, Cheng Shu

We study the geometry of singular $SL_{n}$ -Hitchin fibres over the elliptic locus. We show that orbifold singularities appear in the $PGL_{n}$ -moduli space $M^{ell}(\text…

Singularities of character varieties

Mirror of Orbifold Singularities in the Hitchin Fibration: the case (SLn​,PGLn​)

Mirror of Orbifold Singularities in the Hitchin Fibration: the case $(SL_{n}, PGL_{n})$